An exponential stability criterion for certain nonlinear systems

Venkatesh, Y. V. (1974) An exponential stability criterion for certain nonlinear systems Journal of Engineering Mathematics, 8 (2). pp. 125-131. ISSN 0022-0833

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Official URL: http://www.springerlink.com/content/t6373418q05367...

Related URL: http://dx.doi.org/10.1007/BF02353614

Abstract

Improved sufficient conditions are derived for the exponential stability of a nonlinear time varying feedback system having a time invariant block G in the forward path and a nonlinear time varying gain φ(.)k(t) in the feedback path. Φ(.) being an odd monotone nondecreasing function. The resulting bound on ((dk/dt)/k) is less restrictive than earlier criteria.

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